Question

keep all units throughout the problem if possible

Summarize the problem indicating the question to be answered, list the equations used, show all math with physical units, and indicate your answer with correct sig. figs. A 6.50-kg instrument is hanging by a vertical wire inside a spaceship that is blasting off from rest at the earth's surface. This spaceship reaches an altitude of 276 m in 15.0 s with constant acceleration. Find the force that the wire exerts on the instrument.

Answer 1

There are two forces acting on the instrument they are 1) weight acting downwards cension of the sting acting upwards the strument also accelerates upwards, so there is a net force acting in that direction, according to Newtons second law of motion c é Tong (since accileration is upward) Assuming Constant accilevation let y-yo = 276m € = 15$ Then m = 6.5 kg 9 = 9.8 m/s Newton's equation of motion 9-40 = V € +49 +2 since v=0 y-yo = Lata a = 2 (-40) a= 2 276m (155)

a = 2:45 m/s2 a 2.5 m/s2, law using Newtons and Fy = ma Fy = Tow -> VW hare - Fy = T-mg :: T-mg = ma T= mgtma T= m (gta) T = (6.5kg) [ 9.8m/52 + 2.59752] I= .79.6N Here the net accileration is due to accèlevation of the space ship and accileration due to gravity : the force that wire exerts on instrument is 79.6N.